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Potential, value, and the multilinear extension

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  • Casajus, André
  • Huettner, Frank

Abstract

We provide new formulae for the potential of the Shapley value that use the multilinear extension of coalitional games with transferable utility.

Suggested Citation

  • Casajus, André & Huettner, Frank, 2015. "Potential, value, and the multilinear extension," Economics Letters, Elsevier, vol. 135(C), pages 28-30.
    • Handle: RePEc:eee:ecolet:v:135:y:2015:i:c:p:28-30
    DOI: 10.1016/j.econlet.2015.07.014
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    References listed on IDEAS

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    1. K. Ortmann, 1998. "Conservation of energy in value theory," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 47(3), pages 423-449, October.
    2. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    3. Dennis Leech, 2003. "Computing Power Indices for Large Voting Games," Management Science, INFORMS, vol. 49(6), pages 831-837, June.
    4. Casajus, André, 2014. "Potential, value, and random partitions," Economics Letters, Elsevier, vol. 125(2), pages 164-166.
    5. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    6. Calvo, Emilio & Santos, Juan Carlos, 1997. "Potentials in cooperative TU-games," Mathematical Social Sciences, Elsevier, vol. 34(2), pages 175-190, October.
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    Cited by:

    1. Casajus, André & Huettner, Frank, 2018. "Calculating direct and indirect contributions of players in cooperative games via the multi-linear extension," Economics Letters, Elsevier, vol. 164(C), pages 27-30.

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    More about this item

    Keywords

    Shapley value; Potential; Random partition; Concentration of power;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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